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Finding the Third Proportional to 11,805.75 and 25,869.38

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Solution

The third proportional to 11,805.75 and 25,869.38 is: 56,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.75 : 25,869.38 = 25,869.38 : x
  2. Step 2: Convert to fraction form
    11,805.75/25,869.38 = 25,869.38/x
  3. Step 3: Cross multiply
    11,805.75x = 25,869.38 × 25,869.38
  4. Step 4: Simplify right side
    11,805.75x = 669,224,562.89
  5. Step 5: Solve for x
    x = 669,224,562.89/11,805.75
  6. Step 6: Final answer
    x = 56,686.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.